On osculatory interpolation by trigonometric polynomials

A short and simple proof is given that osculatory interpolation by trigonometric polynomials is always possible.

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Bibliographic Details
Main Authors: D. J. Newman, L. A. Rubel
Format: Article
Language:English
Published: Wiley 1979-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171279000545
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author D. J. Newman
L. A. Rubel
author_facet D. J. Newman
L. A. Rubel
author_sort D. J. Newman
collection DOAJ
description A short and simple proof is given that osculatory interpolation by trigonometric polynomials is always possible.
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1979-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-86b5c9b1dea64cd88a51a4e0a00088952025-02-03T00:59:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012471772010.1155/S0161171279000545On osculatory interpolation by trigonometric polynomialsD. J. Newman0L. A. Rubel1Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122, USADepartment of Mathematics, University of Illinois, Urbana, Illinois 61801, USAA short and simple proof is given that osculatory interpolation by trigonometric polynomials is always possible.http://dx.doi.org/10.1155/S0161171279000545trigonometric polynomialsinterpolationosculatory interpolationsquares of polynomials.
spellingShingle D. J. Newman
L. A. Rubel
On osculatory interpolation by trigonometric polynomials
International Journal of Mathematics and Mathematical Sciences
trigonometric polynomials
interpolation
osculatory interpolation
squares of polynomials.
title On osculatory interpolation by trigonometric polynomials
title_full On osculatory interpolation by trigonometric polynomials
title_fullStr On osculatory interpolation by trigonometric polynomials
title_full_unstemmed On osculatory interpolation by trigonometric polynomials
title_short On osculatory interpolation by trigonometric polynomials
title_sort on osculatory interpolation by trigonometric polynomials
topic trigonometric polynomials
interpolation
osculatory interpolation
squares of polynomials.
url http://dx.doi.org/10.1155/S0161171279000545
work_keys_str_mv AT djnewman onosculatoryinterpolationbytrigonometricpolynomials
AT larubel onosculatoryinterpolationbytrigonometricpolynomials